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Finding the Fourth Proportional to 350.07, 525.15 and 176.82

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Solution

The fourth proportional to 350.07, 525.15 and 176.82 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.07 : 525.15 = 176.82 : x
  2. Step 2: Convert to fraction form
    350.07/525.15 = 176.82/x
  3. Step 3: Cross multiply
    350.07x = 525.15 × 176.82
  4. Step 4: Simplify right side
    350.07x = 92,857.02
  5. Step 5: Solve for x
    x = 92,857.02/350.07
  6. Step 6: Final answer
    x = 265.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.